Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions
In order to overcome the difficulties of studying the vibration analysis model of a multi-span beam system under various boundary and coupling conditions, this paper constructs a free vibration analysis model of a multi-span beam system on the basis of the Bernoulli-Euler beam theory. The vibration...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Editorial Office of Chinese Journal of Ship Research
2017-08-01
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| Series: | Zhongguo Jianchuan Yanjiu |
| Subjects: | |
| Online Access: | http://www.ship-research.com/EN/Y2017/V12/I4/95 |
| _version_ | 1818187385054167040 |
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| author | ZHENG Chaofan WU Xiaoguang ZHANG Cheng |
| author_facet | ZHENG Chaofan WU Xiaoguang ZHANG Cheng |
| author_sort | ZHENG Chaofan |
| collection | DOAJ |
| description | In order to overcome the difficulties of studying the vibration analysis model of a multi-span beam system under various boundary and coupling conditions, this paper constructs a free vibration analysis model of a multi-span beam system on the basis of the Bernoulli-Euler beam theory. The vibration characteristics of a multi-span beam system under arbitrary boundary supports and elastic coupling conditions are investigated using the current analysis model. Unlike most existing techniques, the beam displacement function is generally sought as an improved Fourier cosine series, and four sine terms are introduced to overcome all the relevant discontinuities or jumps of elastic boundary conditions. On this basis, the unknown series coefficients of the displacement function are treated as the generalized coordinates and solved using the Rayleigh-Ritz method, and the vibration problem of multi-span bean systems is converted into a standard eigenvalue problem concerning the unknown displacement expansion coefficient. By comparing the free vibration characteristics of the proposed method with those of the FEA method, the efficiency and accuracy of the present method are validated, providing a reliable and theoretical basis for multi-span beam system structure in engineering applications. |
| first_indexed | 2024-12-11T23:10:11Z |
| format | Article |
| id | doaj.art-43cac758fe644dbfbb02a1bcaa8d4676 |
| institution | Directory Open Access Journal |
| issn | 1673-3185 1673-3185 |
| language | English |
| last_indexed | 2024-12-11T23:10:11Z |
| publishDate | 2017-08-01 |
| publisher | Editorial Office of Chinese Journal of Ship Research |
| record_format | Article |
| series | Zhongguo Jianchuan Yanjiu |
| spelling | doaj.art-43cac758fe644dbfbb02a1bcaa8d46762022-12-22T00:46:45ZengEditorial Office of Chinese Journal of Ship ResearchZhongguo Jianchuan Yanjiu1673-31851673-31852017-08-011249510110.3969/j.issn.1673-3185.2017.04.015201704015Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditionsZHENG Chaofan0WU Xiaoguang1ZHANG Cheng2National Key Laboratory on Ship Vibration and Noise, China Ship Development and Design Center, Wuhan 430064, ChinaNational Key Laboratory on Ship Vibration and Noise, China Ship Development and Design Center, Wuhan 430064, ChinaNational Key Laboratory on Ship Vibration and Noise, China Ship Development and Design Center, Wuhan 430064, ChinaIn order to overcome the difficulties of studying the vibration analysis model of a multi-span beam system under various boundary and coupling conditions, this paper constructs a free vibration analysis model of a multi-span beam system on the basis of the Bernoulli-Euler beam theory. The vibration characteristics of a multi-span beam system under arbitrary boundary supports and elastic coupling conditions are investigated using the current analysis model. Unlike most existing techniques, the beam displacement function is generally sought as an improved Fourier cosine series, and four sine terms are introduced to overcome all the relevant discontinuities or jumps of elastic boundary conditions. On this basis, the unknown series coefficients of the displacement function are treated as the generalized coordinates and solved using the Rayleigh-Ritz method, and the vibration problem of multi-span bean systems is converted into a standard eigenvalue problem concerning the unknown displacement expansion coefficient. By comparing the free vibration characteristics of the proposed method with those of the FEA method, the efficiency and accuracy of the present method are validated, providing a reliable and theoretical basis for multi-span beam system structure in engineering applications.http://www.ship-research.com/EN/Y2017/V12/I4/95improved Fourier seriesarbitrary boundary conditionsRayleigh-Ritz methodmulti-span beamstructural vibration |
| spellingShingle | ZHENG Chaofan WU Xiaoguang ZHANG Cheng Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions Zhongguo Jianchuan Yanjiu improved Fourier series arbitrary boundary conditions Rayleigh-Ritz method multi-span beam structural vibration |
| title | Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions |
| title_full | Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions |
| title_fullStr | Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions |
| title_full_unstemmed | Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions |
| title_short | Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions |
| title_sort | vibration analysis of multi span beam system under arbitrary boundary and coupling conditions |
| topic | improved Fourier series arbitrary boundary conditions Rayleigh-Ritz method multi-span beam structural vibration |
| url | http://www.ship-research.com/EN/Y2017/V12/I4/95 |
| work_keys_str_mv | AT zhengchaofan vibrationanalysisofmultispanbeamsystemunderarbitraryboundaryandcouplingconditions AT wuxiaoguang vibrationanalysisofmultispanbeamsystemunderarbitraryboundaryandcouplingconditions AT zhangcheng vibrationanalysisofmultispanbeamsystemunderarbitraryboundaryandcouplingconditions |